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Finding the Fourth Proportional to 678.46, 936.28 and 383.75

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Solution

The fourth proportional to 678.46, 936.28 and 383.75 is: 529.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.46 : 936.28 = 383.75 : x
  2. Step 2: Convert to fraction form
    678.46/936.28 = 383.75/x
  3. Step 3: Cross multiply
    678.46x = 936.28 × 383.75
  4. Step 4: Simplify right side
    678.46x = 359,297.45
  5. Step 5: Solve for x
    x = 359,297.45/678.46
  6. Step 6: Final answer
    x = 529.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.